Mathematics, 06.07.2019 11:10 leo4687

Apiece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions. express the total amount of fencing needed as an algebraic expression in x.

Apiece of land is to be fenced and subdivided as shown so that each rectangle has the same dimension

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Answer from: Jasten

If two or more rectangles have the same dimensions is because they are congruent. In this way, they share two corresponding sides. Our first rectangle has the following sides:

L1 = x

L2 = 3x + 4

Therefore the second and third rectangles need to have the same sides. Therefore, we will have that the sides of the second one is also:

L1 = x

L2 = 3x + 4

and the sides of the third one is also:

L1 = x

L2 = 3x + 4

Therefore, the total amount of fencing needed is:

T = 3(3x + 4) + 4(x)

T = 9x + 12 + 4x

T = 13x + 12

Moreover, we can compute the area of the fence as follows:

A = [(3x + 4) + (3x + 4) + (3x + 4)]x = (3x + 3x + 3x + 4 + 4 + 4)x

A = (9x + 12)x

A = 9x² + 12x

Answer from: lolz55678

The algebraic expression that expresses the total amount of fencing needed is 11X + 20.

Calculus

Given that a piece of land is to be fenced and subdivided as shown so that each rectangle has the same dimensions, to express the total amount of fencing needed as an algebraic expression in X, the following calculation must be performed:

3X + 4 = 6 wooden fence blocksEach rectangle has 3 blocks on each side and 6 blocks in front.Number of fronts = 3Number of sides = 4(3X + 4) x 3 + ((3X + 4) x 4) / 2 = Algebraic expression9X + 12 + (4X + 16) / 2 = Algebraic expression9X + 12 + 2X + 8 = Algebraic expression11X + 20 = Algebraic expression

Therefore, the algebraic expression that expresses the total amount of fencing needed is 11X + 20.

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Answer from: Quest

Ibelieve 4mn because it’s like you’re combining them

Answer from: Quest

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

= $\sqrt{(9-6)^{2} +(12-6)^{2} } \\=\sqrt(45)=3\sqrt(5)$

side j'k'=distance between j' and k'

= $\sqrt{(3-2)^{2} +(2-4)^{2} } \\=sqrt(5)$

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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Apiece of land is to be fenced and subdivided as shown so that each rectangle has the same dimension...